TSTP Solution File: SWW494_5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW494_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:33:16 EDT 2024
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 6 |; 0 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 4 prp; 0-6 aty)
% Number of functors : 32 ( 32 usr; 12 con; 0-4 aty)
% Number of variables : 16 ( 13 !; 3 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
real: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_1,type,
isUb:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_2,type,
ubs:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > fun(X0,bool) ) ).
tff(func_def_3,type,
top_top:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_5,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_6,type,
fFalse: bool ).
tff(func_def_7,type,
fTrue: bool ).
tff(func_def_8,type,
p: fun(real,bool) ).
tff(func_def_9,type,
y: real ).
tff(func_def_10,type,
x: real ).
tff(func_def_11,type,
sK0:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_12,type,
sK1: fun(real,bool) > real ).
tff(func_def_13,type,
sK2: fun(real,bool) > real ).
tff(func_def_14,type,
sK3: real ).
tff(func_def_15,type,
sK4: real ).
tff(func_def_16,type,
sK5: real ).
tff(func_def_17,type,
sK6: real ).
tff(func_def_18,type,
sK7: real ).
tff(func_def_19,type,
sK8: real ).
tff(func_def_20,type,
sK9: real ).
tff(func_def_21,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_22,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_23,type,
sK12:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_24,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_25,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_26,type,
sK15:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_27,type,
sK16:
!>[X0: $tType] : X0 ).
tff(func_def_28,type,
sK17: fun(real,bool) > real ).
tff(func_def_29,type,
sK18: ( fun(real,bool) * real ) > real ).
tff(func_def_30,type,
sK19: ( fun(real,bool) * real ) > real ).
tff(pred_def_1,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
top:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
dense_linorder:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
isLub:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_9,type,
leastP:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_10,type,
setge:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_11,type,
setle:
!>[X0: $tType] : ( ( fun(X0,bool) * X0 ) > $o ) ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_15,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_16,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_17,type,
pp: bool > $o ).
tff(f319,plain,
$false,
inference(avatar_sat_refutation,[],[f304,f305,f318]) ).
tff(f318,plain,
~ spl20_1,
inference(avatar_contradiction_clause,[],[f315]) ).
tff(f315,plain,
( $false
| ~ spl20_1 ),
inference(resolution,[],[f310,f307]) ).
tff(f307,plain,
( ! [X0: real] : ~ isLub(real,top_top(fun(real,bool)),p,X0)
| ~ spl20_1 ),
inference(backward_demodulation,[],[f299,f244]) ).
tff(f244,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(cnf_transformation,[],[f128]) ).
tff(f128,plain,
! [X0: $tType,X1: fun(X0,bool)] : ( collect(X0,X1) = X1 ),
inference(rectify,[],[f78]) ).
tff(f78,axiom,
! [X0: $tType,X14: fun(X0,bool)] : ( collect(X0,X14) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f299,plain,
( ! [X0: real] : ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f298]) ).
tff(f298,plain,
( spl20_1
<=> ! [X0: real] : ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
tff(f310,plain,
isLub(real,top_top(fun(real,bool)),p,sK5),
inference(superposition,[],[f260,f244]) ).
tff(f260,plain,
isLub(real,top_top(fun(real,bool)),collect(real,p),sK5),
inference(cnf_transformation,[],[f214]) ).
tff(f214,plain,
isLub(real,top_top(fun(real,bool)),collect(real,p),sK5),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f142,f213]) ).
tff(f213,plain,
( ? [X0: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X0)
=> isLub(real,top_top(fun(real,bool)),collect(real,p),sK5) ),
introduced(choice_axiom,[]) ).
tff(f142,plain,
? [X0: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X0),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
? [X2: real] : isLub(real,top_top(fun(real,bool)),collect(real,p),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f305,plain,
~ spl20_2,
inference(avatar_split_clause,[],[f240,f301]) ).
tff(f301,plain,
( spl20_2
<=> thesis ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
tff(f240,plain,
~ thesis,
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
~ thesis,
inference(flattening,[],[f123]) ).
tff(f123,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f122]) ).
tff(f122,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f304,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f241,f301,f298]) ).
tff(f241,plain,
! [X0: real] :
( thesis
| ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0) ),
inference(cnf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0: real] :
( thesis
| ~ isLub(real,top_top(fun(real,bool)),collect(real,p),X0) ),
inference(ennf_transformation,[],[f125]) ).
tff(f125,plain,
! [X0: real] :
( isLub(real,top_top(fun(real,bool)),collect(real,p),X0)
=> thesis ),
inference(rectify,[],[f121]) ).
tff(f121,axiom,
! [X35: real] :
( isLub(real,top_top(fun(real,bool)),collect(real,p),X35)
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW494_5 : TPTP v8.2.0. Released v6.0.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 04:46:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 This is a TF1_THM_EQU_NAR problem
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44 % (13400)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13406)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.23/0.44 % (13400)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13402)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.23/0.44 % (13400)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13401)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.23/0.44 % (13400)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13405)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.23/0.44 % (13400)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13407)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.23/0.44 % (13400)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13404)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.23/0.44 % (13406)First to succeed.
% 0.23/0.44 % (13406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13400"
% 0.23/0.44 % (13407)Also succeeded, but the first one will report.
% 0.23/0.44 % (13400)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (13406)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for theBenchmark
% 0.23/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.44 % (13406)------------------------------
% 0.23/0.44 % (13406)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.44 % (13406)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.44 % (13406)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (13406)Memory used [KB]: 1268
% 0.23/0.44 % (13406)Time elapsed: 0.006 s
% 0.23/0.44 % (13406)Instructions burned: 7 (million)
% 0.23/0.44 % (13406)------------------------------
% 0.23/0.44 % (13406)------------------------------
% 0.23/0.44 % (13400)Success in time 0.059 s
%------------------------------------------------------------------------------